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34122542020 = 22572913164157
BaseRepresentation
bin11111110001110111…
…001010101111000100
310021002001120201212121
4133301313022233010
51024340332321040
623401540255324
72315405551540
oct376167125704
9107061521777
1034122542020
1113520315956
1267436a1544
1332aa4c0788
141919b7aa20
15d4aa07c4a
hex7f1dcabc4

34122542020 has 96 divisors (see below), whose sum is σ = 85366068480. Its totient is φ = 11209336320.

The previous prime is 34122541987. The next prime is 34122542057. The reversal of 34122542020 is 2024522143.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 499782 + ... + 563938.

It is an arithmetic number, because the mean of its divisors is an integer number (889229880).

Almost surely, 234122542020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34122542020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42683034240).

34122542020 is an abundant number, since it is smaller than the sum of its proper divisors (51243526460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34122542020 is a wasteful number, since it uses less digits than its factorization.

34122542020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64333 (or 64331 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The spelling of 34122542020 in words is "thirty-four billion, one hundred twenty-two million, five hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 131 140 145 203 262 290 406 524 580 655 812 917 1015 1310 1834 2030 2620 3668 3799 4060 4585 7598 9170 15196 18340 18995 26593 37990 53186 64157 75980 106372 128314 132965 256628 265930 320785 449099 531860 641570 898198 1283140 1796396 1860553 2245495 3721106 4490990 7442212 8404567 8981980 9302765 13023871 16809134 18605530 26047742 33618268 37211060 42022835 52095484 58831969 65119355 84045670 117663938 130238710 168091340 235327876 243732443 260477420 294159845 487464886 588319690 974929772 1176639380 1218662215 1706127101 2437324430 3412254202 4874648860 6824508404 8530635505 17061271010 34122542020